{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "pycharm": {
     "is_executing": false
    }
   },
   "outputs": [],
   "source": [
    "import torch\n",
    "import torch.nn\n",
    "import argoverse\n",
    "import os\n",
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "pycharm": {
     "is_executing": false,
     "name": "#%%\n"
    }
   },
   "outputs": [],
   "source": [
    "from argoverse.map_representation.map_api import ArgoverseMap\n",
    "am = ArgoverseMap()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "laneid_map = {}\n",
    "city_halluc_bbox_table, city_halluc_tableidx_to_laneid_map = am.build_hallucinated_lane_bbox_index()\n",
    "for key in city_halluc_tableidx_to_laneid_map['PIT']:\n",
    "    laneid_map[city_halluc_tableidx_to_laneid_map['PIT'][key]] = key\n",
    "# print(laneid_map[9604252])\n",
    "# am.draw_lane(9605254,'PIT')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "for key in laneid_map:\n",
    "    center_line = am.get_lane_segment_centerline(key, 'PIT')\n",
    "    if np.min(center_line, axis=0)[0]>2500 and np.max(center_line, axis=0)[0] < 3000:\n",
    "        am.draw_lane(key,'PIT')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "vectormap = np.load('./data/vector_map/PIT_vectormap.npy', 'r')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure()\n",
    "plt.xlim(2940, 2980)\n",
    "plt.ylim(1390, 1460)\n",
    "for i in range(vectormap.shape[0]):\n",
    "    if(vectormap[i][0] > 2900 and vectormap[i][0] < 3000 and vectormap[i][1]>1350 and vectormap[i][1]<1500):\n",
    "        plt.arrow(vectormap[i][0], vectormap[i][1], vectormap[i][2]-vectormap[i][0], vectormap[i][3]-vectormap[i][1],\n",
    "                 length_includes_head = True,head_width = 0.25,head_length = 0.5)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure()\n",
    "# plt.xlim(2940, 2980)\n",
    "# plt.ylim(1390, 1460)\n",
    "plt.xlim(2960, 2975)\n",
    "plt.ylim(1415, 1440)\n",
    "for i in range(vectormap.shape[0]):\n",
    "    if(vectormap[i][0] > 2900 and vectormap[i][0] < 3000 and vectormap[i][1]>1350 and vectormap[i][1]<1500):\n",
    "        plt.arrow(vectormap[i][0], vectormap[i][1], vectormap[i][2]-vectormap[i][0], vectormap[i][3]-vectormap[i][1],\n",
    "                 length_includes_head = True,head_width = 0.3,head_length = 0.6)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>TIMESTAMP</th>\n",
       "      <th>TRACK_ID</th>\n",
       "      <th>OBJECT_TYPE</th>\n",
       "      <th>X</th>\n",
       "      <th>Y</th>\n",
       "      <th>CITY_NAME</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>11</th>\n",
       "      <td>3.159896e+08</td>\n",
       "      <td>00000000-0000-0000-0000-000000172078</td>\n",
       "      <td>AGENT</td>\n",
       "      <td>1973.867023</td>\n",
       "      <td>662.122924</td>\n",
       "      <td>PIT</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>24</th>\n",
       "      <td>3.159896e+08</td>\n",
       "      <td>00000000-0000-0000-0000-000000172078</td>\n",
       "      <td>AGENT</td>\n",
       "      <td>1973.200124</td>\n",
       "      <td>661.596983</td>\n",
       "      <td>PIT</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>36</th>\n",
       "      <td>3.159896e+08</td>\n",
       "      <td>00000000-0000-0000-0000-000000172078</td>\n",
       "      <td>AGENT</td>\n",
       "      <td>1972.434752</td>\n",
       "      <td>661.003455</td>\n",
       "      <td>PIT</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>50</th>\n",
       "      <td>3.159896e+08</td>\n",
       "      <td>00000000-0000-0000-0000-000000172078</td>\n",
       "      <td>AGENT</td>\n",
       "      <td>1971.859360</td>\n",
       "      <td>660.537530</td>\n",
       "      <td>PIT</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>64</th>\n",
       "      <td>3.159896e+08</td>\n",
       "      <td>00000000-0000-0000-0000-000000172078</td>\n",
       "      <td>AGENT</td>\n",
       "      <td>1971.193611</td>\n",
       "      <td>660.022014</td>\n",
       "      <td>PIT</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "       TIMESTAMP                              TRACK_ID OBJECT_TYPE  \\\n",
       "11  3.159896e+08  00000000-0000-0000-0000-000000172078       AGENT   \n",
       "24  3.159896e+08  00000000-0000-0000-0000-000000172078       AGENT   \n",
       "36  3.159896e+08  00000000-0000-0000-0000-000000172078       AGENT   \n",
       "50  3.159896e+08  00000000-0000-0000-0000-000000172078       AGENT   \n",
       "64  3.159896e+08  00000000-0000-0000-0000-000000172078       AGENT   \n",
       "\n",
       "              X           Y CITY_NAME  \n",
       "11  1973.867023  662.122924       PIT  \n",
       "24  1973.200124  661.596983       PIT  \n",
       "36  1972.434752  661.003455       PIT  \n",
       "50  1971.859360  660.537530       PIT  \n",
       "64  1971.193611  660.022014       PIT  "
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from argoverse.data_loading.argoverse_forecasting_loader import ArgoverseForecastingLoader\n",
    "afl = ArgoverseForecastingLoader(\"./data/forecasting_dataset/val/\")\n",
    "seq_path = afl.seq_list[7]\n",
    "data = afl.get(seq_path).seq_df\n",
    "data = data[data['OBJECT_TYPE'] == 'AGENT']\n",
    "data.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "PosixPath('/home/liangzx/code/VectorNet/data/forecasting_dataset/val/30908.csv')"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "afl.seq_list[7]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure()\n",
    "plt.xlim(1945, 2000)\n",
    "plt.ylim(635, 685)\n",
    "for i in range(vectormap.shape[0]):\n",
    "    if(vectormap[i][0] > 1945 and vectormap[i][0] < 2000 and vectormap[i][1]>635 and vectormap[i][1]<685):\n",
    "        plt.arrow(vectormap[i][0], vectormap[i][1], vectormap[i][2]-vectormap[i][0], vectormap[i][3]-vectormap[i][1],\n",
    "                 length_includes_head = True,head_width = 0.25,head_length = 0.5)\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure()\n",
    "plt.xlim(1945, 1957)\n",
    "plt.ylim(635, 660)\n",
    "flag = True\n",
    "num = 0\n",
    "predict = np.array([[1953.75, 644.51], [1954.50, 644.69], [1952.71, 645.75], [1952.51, 645.82], [1952.48, 645.12], \\\n",
    "                    [1952.76, 643.49], [1952.72, 642.96], [1954.32, 642.38], [1952.87, 641.72]])\n",
    "for i in range(vectormap.shape[0]):\n",
    "    if(vectormap[i][0] > 1945 and vectormap[i][0] < 1957 and vectormap[i][1]>635 and vectormap[i][1]<660):\n",
    "        plt.arrow(vectormap[i][0], vectormap[i][1], vectormap[i][2]-vectormap[i][0], vectormap[i][3]-vectormap[i][1],\n",
    "                 length_includes_head = True,head_width = 0.25,head_length = 0.5)\n",
    "for _, row in data.iterrows():\n",
    "    if num < 20:\n",
    "        num = num + 1\n",
    "        continue\n",
    "    if num >= 37:\n",
    "        break\n",
    "    num = num + 1\n",
    "    if flag:\n",
    "        xlast = row['X']\n",
    "        ylast = row['Y']\n",
    "        flag = False\n",
    "        continue\n",
    "    plt.arrow(xlast, ylast, row['X']-xlast, row['Y']-ylast, fc='b', ec='b',\n",
    "             length_includes_head = True,head_width = 0.25,head_length = 0.5)\n",
    "    if num <= 30:\n",
    "        plt.arrow(xlast, ylast, row['X']-xlast, row['Y']-ylast, fc='r', ec='r',\n",
    "             length_includes_head = True,head_width = 0.25,head_length = 0.5)\n",
    "    if num == 31:\n",
    "        plt.arrow(xlast, ylast, predict[0,0]-xlast, predict[0,1]-ylast, fc='r', ec='r',\n",
    "     length_includes_head = True,head_width = 0.25,head_length = 0.5)\n",
    "    startpoint = np.array([xlast, ylast])\n",
    "    endpoint = np.array([row['X'], row['Y']])\n",
    "    xlast = row['X']\n",
    "    ylast = row['Y']\n",
    "for i in range(8):\n",
    "    plt.arrow(predict[i,0], predict[i,1], predict[i+1,0]-predict[i,0], predict[i+1,1]-predict[i,1], fc='r', ec='r',\n",
    "             length_includes_head = True,head_width = 0.25,head_length = 0.5)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python [conda env:sassd] *",
   "language": "python",
   "name": "conda-env-sassd-py"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.6"
  },
  "pycharm": {
   "stem_cell": {
    "cell_type": "raw",
    "metadata": {
     "collapsed": false
    },
    "source": []
   }
  }
 },
 "nbformat": 4,
 "nbformat_minor": 1
}
